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By factorizing algebraic expression 4px - 8qx - 3py + 6qy, answer will be

  • A.(4x + 3y)(p + 2q)
  • B.(4x - 3y)(p + 2q)
  • C.(4x + 3y)(p - 2q)
  • D.(4x - 3y)(p - 2q)

Answer: D

Group in pairs and factor each.

\[ 4px - 8qx - 3py + 6qy = 4x(p - 2q) - 3y(p - 2q) \]

\[ = (4x - 3y)(p - 2q) \]

Taking out \( -3y \) rather than \( 3y \) from the second pair is what makes both brackets read \( (p - 2q) \).

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